The function is and point
.
Rewrite the function.
\Apply derivative on each side with respect to .
.
.
Substitute in the derivative function.
.
Graph :
\Graph the function and the derivative function at .
Observe the graph.
\Slope of the horizantal line in the slope field is .
Therefore, the slope of the function is .
Derivative function is .
The value of the derivative function at the point is
.